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Finding the Fourth Proportional to 571.01, 855.84 and 505.40

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Solution

The fourth proportional to 571.01, 855.84 and 505.40 is: 757.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.01 : 855.84 = 505.40 : x
  2. Step 2: Convert to fraction form
    571.01/855.84 = 505.40/x
  3. Step 3: Cross multiply
    571.01x = 855.84 × 505.40
  4. Step 4: Simplify right side
    571.01x = 432,541.54
  5. Step 5: Solve for x
    x = 432,541.54/571.01
  6. Step 6: Final answer
    x = 757.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.